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221022112102011 = 321117521446356479
BaseRepresentation
bin110010010000010010111000…
…011110101011011001111011
31001222120111201000100011020100
4302100102320132223121323
5212432211241144231021
62102024053453130443
764361214660012243
oct6220227036533173
91058514630304210
10221022112102011
1164473a51279850
1220957696189a23
1396433ac98047c
143c81754ccab23
151a8445ba60626
hexc904b87ab67b

221022112102011 has 96 divisors (see below), whose sum is σ = 369561295134720. Its totient is φ = 125800814131200.

The previous prime is 221022112102007. The next prime is 221022112102039. The reversal of 221022112102011 is 110201211220122.

221022112102011 is a `hidden beast` number, since 2 + 210 + 2 + 211 + 210 + 20 + 11 = 666.

It is not a de Polignac number, because 221022112102011 - 22 = 221022112102007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221022112106011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3913322070 + ... + 3913378548.

It is an arithmetic number, because the mean of its divisors is an integer number (3849596824320).

Almost surely, 2221022112102011 is an apocalyptic number.

221022112102011 is a deficient number, since it is larger than the sum of its proper divisors (148539183032709).

221022112102011 is a wasteful number, since it uses less digits than its factorization.

221022112102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61497 (or 61494 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221022112102011 its reverse (110201211220122), we get a palindrome (331223323322133).

The spelling of 221022112102011 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred twelve million, one hundred two thousand, eleven".

Divisors: 1 3 9 11 17 33 51 99 153 187 521 561 1563 1683 4463 4689 5731 8857 13389 17193 26571 40167 49093 51579 56479 75871 79713 97427 147279 169437 227613 292281 441837 508311 621269 682839 834581 876843 960143 1863807 2325223 2503743 2880429 5591421 6975669 7511229 8641287 10561573 20927007 25577453 29425559 31684719 39528791 76732359 88276677 95054157 118586373 230197077 252065777 264830031 323681149 355759119 434816701 500234503 756197331 971043447 1304450103 1500703509 2268591993 2772723547 2913130341 3913350309 4285118209 4502110527 5502579533 8318170641 12855354627 16507738599 24954511923 38566063881 47136300299 49523215797 131326269817 141408900897 393978809451 424226702691 1181936428353 1444588967987 2232546586889 4333766903961 6697639760667 13001300711883 20092919282001 24558012455779 73674037367337 221022112102011